Reduction of Gravity: Effects on Object Motion

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Discussion Overview

The discussion revolves around the effects of reduced gravity on the motion of objects, specifically examining how a decrease in gravitational force would influence the duration objects remain airborne when thrown upwards. The scope includes theoretical reasoning and mathematical relationships in physics.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant proposes that if Earth's gravity were reduced to 1/6, objects thrown upwards would stay in the air six times longer, seeking clarification on the relationship.
  • Another participant suggests that understanding the relationship requires knowledge of Newton's second law (F = ma) and calculus, hinting at the derivation of relevant equations.
  • A different participant expresses skepticism about the initial assumption, stating that the answer is likely "no," and questions whether the inquiry is for homework or curiosity.
  • One participant confirms their earlier assertion that the time would indeed increase six-fold if the inquiry is based on curiosity, while noting that a proof is necessary for homework contexts.
  • Another participant provides a kinematics equation to illustrate the relationship between time and acceleration, indicating that time is inversely proportional to acceleration.

Areas of Agreement / Disagreement

Participants express differing views on the initial assumption regarding the time objects remain airborne. While some support the idea that time increases six-fold, others challenge this assumption, indicating that the discussion remains unresolved.

Contextual Notes

The discussion includes assumptions about the applicability of kinematic equations under altered gravitational conditions and does not resolve the mathematical steps needed to derive the proposed relationships.

Zeteg
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Okay, if...

The Earth's gravity was 1/6 of what it normally is, then would I be correct to assume that objects being thrown up with the same velocity will stay in the air 6 times as long? If not, what's the relationship? Thanks.
 
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Have you heard of F = ma? Have you done some calculus? If the answer to both question is yes, then can you see how you might be able to derive some equations which you could use to work out the answer to your question yourself?
 
Nereid said:
Have you heard of F = ma? Have you done some calculus? If the answer to both question is yes, then can you see how you might be able to derive some equations which you could use to work out the answer to your question yourself?
Methinks the answer is "no"

Zetig, is this a homework question? OR are you just curious?

If just curious, then yes, the time is increase six-fold. IF homework, you would need to prove it. It can be done with algebra, and this kind of problem is common in introductory physics.
 
Last edited:
Well, I answered it already with yes :P
Thanks for the help. And yes, I did prove it, I'm pretty sure.
 
That's good. FYI, the simplist trick is to use the kinematics equation d=vt + 1/2at^2 (where v = initial velocity). When the ball comes back to your hand, d = zero. The formula simplifies to t=(2v)/a . So t is inversely proportional to a.
 

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